By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0). 4 X * x² + y² f(x,y)= Examine the values of f along curves that end at (0,0). Along which set of curves is f a constant value? OA. y = kx + kx², x*0 *B. y=kx², x#0 c. y=kx, x#0 OD. y=kx³, x#0 If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit? (Simplify your answer.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 27CR
icon
Related questions
Question
100%

I need help with both parts of this question, please. Thank you very much!

By considering different paths of approach, show that the function below has no limit as (x,y) →(0,0).
f(x,y)=
C
Examine the values of f along curves that end at (0,0). Along which set of curves is f a constant value?
OA. y = kx + kx², x#0
B. y=kx², x#0
*c. y=kx, x#0
OD. y=kx³, x#0
If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit?
(Simplify your answer.)
Transcribed Image Text:By considering different paths of approach, show that the function below has no limit as (x,y) →(0,0). f(x,y)= C Examine the values of f along curves that end at (0,0). Along which set of curves is f a constant value? OA. y = kx + kx², x#0 B. y=kx², x#0 *c. y=kx, x#0 OD. y=kx³, x#0 If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit? (Simplify your answer.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning